INEQUALITY THEOREM IN ONE TRIANGLE PART 2

If GH = 3 and HJ = 5, then G ___ J. Choose the relationship symbol that would make a true statement.

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If GH HJ, then GJ ___ HJ. Choose the relationship symbol that would make a true statement.

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If GJ = 7 and HJ = 6, then H ___ G. Choose the relationship symbol that would make a true statement.

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Match the reasons with the statements given in the proof. Note that the figure may not be drawn to scale. Given: WX > XY Prove: 1 > 4 1. WX > XY 2. ∠3 > ∠4 3. ∠1 = ∠3 + ∠2 4. ∠1>∠3 5. ∠1 > ∠4 a. Given b. Exterior ∠ = sum of remote interior ∠'s c. Angle opposite longer side is larger angle. d. If a = b + c and c>0, then a>b e. Transitive property

1. a. 2.c. 3. b. 4. d. 5. e.

If H is obtuse, then HG ___ GJ. Choose the relationship symbol that would make a true statement.

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If ∠H = 90°, GJ ___ GH. Choose the relationship symbol that would make a true statement.

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Two angles of a triangle measure 30° and 60°. Which of the following is true of the sides opposite these angles?

The side opposite the 60° angle is longer than the side opposite the 30° angle.

Given: WXY, 1 an exterior . Prove: 1 > 2 Which of the following statements would complete the proof in line 2?

∠1 = ∠2 + ∠3

Given: DBC = RST Prove: ABC > RST Which of the following statements would complete the proof in line 3?

∠ABC > ∠DBC